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Finding the Fourth Proportional to 3,894.55, 5,841.59 and 1,297.49

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Solution

The fourth proportional to 3,894.55, 5,841.59 and 1,297.49 is: 1,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.55 : 5,841.59 = 1,297.49 : x
  2. Step 2: Convert to fraction form
    3,894.55/5,841.59 = 1,297.49/x
  3. Step 3: Cross multiply
    3,894.55x = 5,841.59 × 1,297.49
  4. Step 4: Simplify right side
    3,894.55x = 7,579,368.91
  5. Step 5: Solve for x
    x = 7,579,368.91/3,894.55
  6. Step 6: Final answer
    x = 1,946.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.